The phenomenon of modulation instability (MI) is central to the dynamics of nonlinear evolution processes. In the initial stage of the development of MI, a periodic perturbation will amplify exponentially and generate cascades of spectral sidebands [1]}, [2]}. In the developed stage of MI, the dynamics are more complex and involve several stages of energy exchange among the spectral modes. The evolutionary processes of MI can be explained using another similar phenomenon called Fermi-Pasta-Ulam (FPU) recurrence [3]}.
